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Finding the Fourth Proportional to 836.62, 1,254.30 and 654.40

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Solution

The fourth proportional to 836.62, 1,254.30 and 654.40 is: 981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.62 : 1,254.30 = 654.40 : x
  2. Step 2: Convert to fraction form
    836.62/1,254.30 = 654.40/x
  3. Step 3: Cross multiply
    836.62x = 1,254.30 × 654.40
  4. Step 4: Simplify right side
    836.62x = 820,813.92
  5. Step 5: Solve for x
    x = 820,813.92/836.62
  6. Step 6: Final answer
    x = 981.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.